Published October 1, 2019 | Version v1
Journal article

Numerical solutions to anisotropic BVPs for quadratically graded media governed by a Helmholtz equation

  • 1. Department of Civil Engineering, Hasanuddin University, Makassar (Indonesia)
  • 2. Department of Mathematics, Hasanuddin University, Makassar (Indonesia)

Description

A Boundary Element Method (BEM) is used for obtaining solutions to anisotropic quadratically graded media boundary value problems (BVPs) governed by a Helmholtz type equation. A technique of transforming the variable coefficient governing equation to a constant coefficient equation is utilized for deriving a boundary integral equation. Some particular problems are considered to illustrate the application of the BEM. The results show the convergence, consistency, and accuracy of the BEM solutions. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1757-899X/619/1/012060

Additional details

Publishing Information

Journal Title
IOP Conference Series. Materials Science and Engineering (Online)
Journal Volume
619
Journal Issue
1
Journal Page Range
[9 p.]
ISSN
1757-899X

Conference

Title
5. International Symposium on Material, Mechatronics and Energy
Dates
6-8 Nov 2018
Place
Gowa (Indonesia)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52118101
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S42: ENGINEERING;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ACCURACY; ANISOTROPY; BOUNDARY ELEMENT METHOD; BOUNDARY-VALUE PROBLEMS; CONVERGENCE; INTEGRAL EQUATIONS
Descriptors DEC
CALCULATION METHODS; EQUATIONS; FINITE ELEMENT METHOD; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION